Band Theory & Unit Cells (9/25)

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43 Terms

1

Describe the electron sea model.

Valence electrons are delocalized and free to move throughout the crystal.

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2

Why do metals have the malleability and ductility properties that they have?

the behavior of mobile valence electrons

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3

True/false: Molten states conduct electricity.

True

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4

What is it called when molecular orbital theory is applied to crystals?

band theory

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5

Draw the band theory model of 2s orbitals from two Li atoms interacting.

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6

Draw the band theory model for four Li atoms interactions.

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7

What is a band in band theory?

A bunch of atomic orbitals stacked on top of each other

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8

What is band width? How do you calculate it?

The width of a continuous band. (Energy of highest atomic orbital) - (energy of lowest atomic orbital).

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9
<p>In the following image, which of these is weak bonding and which is strong bonding?</p>

In the following image, which of these is weak bonding and which is strong bonding?

left is weak; right is strong

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10

What does band gap depend on?

energy gap between AOs in the atom; widths of the bands

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11

Which is bigger: the band gap or the atomic orbital gap?

atomic orbital gaps

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12

Why do insulators have large band gaps?

They don’t conduct - mobile electrons have trouble jumping the bands to become mobile

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13

What type of band gap do metallic conductors use?

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14

What is the bottom band and what is the top band called?

bottom band: valence band; top band: conductive band

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15

What is a major difference between conductors and semiconductors?

as temperature increase:

  • conductors decrease conductivity

  • semiconductors increase conductivity

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16

What is doping?

adding a small impurity to a host metal to changes its behavior

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17

What is the main difference between n-type and p-type doping?

n-type: dope valence electrons > host valence electrons

p-type: dope valence electrons < host valence electrons

They both increase conductivity.

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18

Describe the impurity band of an n-type dope.

N-type doping adds more electrons and creates a negatively charged semiconductor.

<p>N-type doping adds more electrons and creates a negatively charged semiconductor.</p>
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19

Describe the impurity band of an p-type dope.

P-type bonding creates more holes where electrons should be and creates a positively charged semiconductor.

<p>P-type bonding creates more holes where electrons should be and creates a positively charged semiconductor.</p>
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20

How is maximum attraction obtained?

each atom is surrounded by the largest possible number of other atoms

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21

simple cubic: % efficiency?

52

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22

simple cubic: coordination number

6

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23

simple cubic: net atoms per unit cell

1

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24

simple cubic: examples

po

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25

simple cubic: e equation

e = 2r

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26

body centered cubic: % efficiency

68

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27

body centered cubic: net atoms per unit cell

2

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28

body centered cubic: coordination number

8

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29

body centered cubic: examples

Na, V, K, Fe (low temp)

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30

body centered cubic: e equation

e = (4/root 3)r

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31

face centered cubic: % efficiency

74

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32

face centered cubic: net atoms per unit cell

4

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33

face centered cubic: coordination number

12

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34

face centered cubic: examples

Cu, Al, Ag, Au, Fe (high temp)

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35

face centered cubic: e equation

e = (4/root 2)r

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36

hexagonal close packing: % efficiency

74

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37

hexagonal close packing: coordination number

12

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38

hexagonal close packing: net atoms per unit cell

2

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39

hexagonal close packing: examples

Mg, Ru, Co, Re, Os

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40

Draw the unit cell for simple cubic.

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41

Draw the unit cell for body centered cubic.

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42

Draw the unit cell for face centered cubic.

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43

Draw the unit cell for hexagonal close packing.

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